GCD of 35, 315, 309, 976 Calculator

Given Input numbers are 35, 315, 309, 976

In the factoring method, we have to find the divisors of all numbers

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (35, 315, 309, 976) = 1.

Given numbers are 35, 315, 309, 976

The list of prime factors of all numbers are

Prime factors of 35 are 5 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 309 are 3 x 103

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 35, 315, 309, 976

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(35, 315) = 315

GCD(35, 315) = ( 35 x 315 ) / 315

= 35 / 315

= 35

Step2:

LCM(35, 309) = 10815

GCD(35, 309) = ( 35 x 309 ) / 10815

= 35 / 309

= 35

Step3:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

So, Greatest Common Divisor of 35, 315, 309, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 650, 953, 403
• GCD of 46, 352, 380, 493
• GCD of 72, 420, 359, 927
• GCD of 95, 922, 148, 316
• GCD of 90, 894, 437, 634

Given numbers are 35, 315, 309, 976
The greatest common divisor of numbers 35, 315, 309, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 35, 315, 309, 976 is 1.

1. What is the GCD of 35, 315, 309, 976?

GCD of given numbers 35, 315, 309, 976 is 1

2. How to calculate the greatest common divisor of 35, 315, 309, 976?

We can find the highest common divisor of 35, 315, 309, 976 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 35, 315, 309, 976 i.e 1.

3. How can I use the GCD of 35, 315, 309, 976Calculator?

Out the numbers 35, 315, 309, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.